Write whether the following statements are True or False. Justify your answer.
$(i)$ The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is $1$ are $(-\frac{1}{2}, 1)$.
$(ii)$ $A$ point lies on the $y$-axis at a distance of $2$ units from the $x$-axis. Its coordinates are $(2, 0)$.

(A) $(i)$ False. We know that in the coordinates of a point,the abscissa ($x$-coordinate) is written first,followed by the ordinate ($y$-coordinate). Therefore,the coordinates of the point are $(1, -\frac{1}{2})$,not $(-\frac{1}{2}, 1)$.
$(ii)$ False. Any point that lies on the $y$-axis must have an abscissa of $0$ and is of the form $(0, y)$. Since the point is at a distance of $2$ units from the $x$-axis,its coordinates must be $(0, 2)$ or $(0, -2)$,not $(2, 0)$.